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Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
June 5-8, 2002
Northern Arizona University
Flagstaff, AZ, USA

Organizers
John M. Neuberger, NAU, James W. Swift, NAU, Ratnasingham, Shivaji, MSU

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Some recent existence results for nonlinear Schrodinger equations
by
Hossein Tehrani
UNLV
Coauthors: David Costa

We will consider some recent results on nonlinear Schrodinger equations
-\Deltau+V(x)u=g(x, u),        x in RN
where we will always assume that the potential V(x) has a limit at infinity. As for the nonlinear term, we will consider the cases where g(x, u), is either asymptoyically linear or superlinear at infinity and present some recent existence and multiplicity results. Open problems will be discussed as well.

Date received: April 23, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caio-12.